On the multiplication of operator-valued c-free random variables

2015/09/29 by Popa, Mihai, Vinnikov, Victor, Wang, Jiun-Chau
#46L54 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1509.08853

Abstract

We discuss some results concerning the multiplication of non-commutative random variables that are c-free with respect to a pair ( Φ, φ) , where Φ is a linear map with values in some Banach or C^∗-algebra and φ is scalar-valued. In particular, we construct a suitable analogue of the Voiculescu's S -transform for this framework.

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